Paano Kalkulahin si Box Plot
Ano ang Box Plot?
A box plot (box-and-whisker plot) visualises the distribution of data using five statistics: minimum, Q1, median, Q3, and maximum. Outliers are shown as individual points beyond 1.5×IQR from the quartiles.
Pormula
Q1 = 25th percentile, Q2 (median) = 50th, Q3 = 75th; IQR = Q3 − Q1
- Min
- minimum value
- Q1
- first quartile (25th percentile)
- Q2
- median (50th percentile)
- Q3
- third quartile (75th percentile)
- Max
- maximum value
- IQR
- interquartile range — Q3 − Q1
Step-by-Step na Gabay
- 1Q2 (median): middle value of sorted data
- 2Q1: median of lower half
- 3Q3: median of upper half
- 4IQR = Q3 − Q1; outlier threshold = 1.5×IQR
Mga Nalutas na Halimbawa
Input
Data: 2,4,5,7,8,9,11,13
Resulta
Min=2, Q1=4.5, Med=7.5, Q3=10, Max=13
Input
IQR = 5.5, outlier threshold = 8.25 from quartiles
Resulta
Any value < −3.75 or > 18.25 is an outlier
Mga madalas itanong
What is a boxplot used for?
Boxplots visualize the distribution, spread, and outliers of data at a glance.
How are outliers determined in a boxplot?
Points beyond 1.5×IQR from Q1 or Q3 are typically marked as outliers.
Is the median always at the center of the box?
No, the line inside the box shows the median's position relative to Q1 and Q3, reflecting data skewness.
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